| Document Type
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BL
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| Record Number
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746141
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| Doc. No
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b566090
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| Main Entry
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Michael I. Gil'.
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| Title & Author
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Operator functions and localization of spectra\ Michael I. Gil'.
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| Publication Statement
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Berlin ; New York : Springer-Verlag, ©2003.
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| Series Statement
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Lecture notes in mathematics (Springer-Verlag), 1830.
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| Page. NO
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(xiv, 256 pages) : illustrations
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| ISBN
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3540452257
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: 9783540452256
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| Contents
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Preface --; Preliminaries --; Norms of Matrix-Valued Functions --; Invertibility of Finite Matrices --; Localization of Eigenvalues of Finite Matrices --; Block Matrices and pi-triangular Matrices --; Norm Estimates for Functions --; Functions of Non-Compact Operators --; Bounded Perturbations of Nonself-Adjoint Operators --; Spectrum Localization of Nonself-Adjoint Operators --; Multiplicative Representations of Resolvents --; Relatively
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| Abstract
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Operator Functions and Localization of Spectra is the first book that presents a systematic exposition of bounds for the spectra of various linear nonself-adjoint operators in a Hilbert space, having discrete and continuous spectra. In particular bounds for the spectra of integral, differential and integro-differential operators, as well as finite and infinite matrices are established. The volume also presents a systematic exposition of estimates for norms of operator-valued functions and their applications.
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| Subject
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Linear operators.
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| Subject
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Operator theory.
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| Subject
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Resolvents (Mathematics)
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| LC Classification
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QA3.M534 2003
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| Added Entry
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M I Gilʹ
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